document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168236>Question 168236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trisha ran to the park and then walked home. It took her 1/2 hour to run to the park, and 1 hour and 20 minutes to walk home. If she runs 5 miles an hour faster than she walks, how far does she live from the park? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123996 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Running:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+r%5Br%5D%2At%5Br%5D ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+r%5Br%5D%2At%5Br%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Walking:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2At%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Br%5D+=+1%2F2 ALIGN=MIDDLE  ALT=\"t%5Br%5D+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5Bw%5D+=+4%2F3 ALIGN=MIDDLE  ALT=\"t%5Bw%5D+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >hrs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Br%5D+=+r%5Bw%5D+%2B+5 ALIGN=MIDDLE  ALT=\"r%5Br%5D+=+r%5Bw%5D+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > mi/hr<BR>\n" );
document.write( "Putting this data back into the equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+%28r%5Bw%5D+%2B+5%29%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+%28r%5Bw%5D+%2B+5%29%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2A%284%2F3%29 ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2A%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the problem, I know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+d%5Bw%5D ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+d%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28r%5Bw%5D+%2B+5%29%2A%281%2F2%29+=+r%5Bw%5D%2A%284%2F3%29 ALIGN=MIDDLE  ALT=\"%28r%5Bw%5D+%2B+5%29%2A%281%2F2%29+=+r%5Bw%5D%2A%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3r%5Bw%5D+%2B+15+=+8r%5Bw%5D ALIGN=MIDDLE  ALT=\"3r%5Bw%5D+%2B+15+=+8r%5Bw%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5r%5Bw%5D+=+15 ALIGN=MIDDLE  ALT=\"5r%5Bw%5D+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bw%5D+=+3 ALIGN=MIDDLE  ALT=\"r%5Bw%5D+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Br%5D+=+r%5Bw%5D+%2B+5 ALIGN=MIDDLE  ALT=\"r%5Br%5D+=+r%5Bw%5D+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Br%5D+=+3+%2B+5 ALIGN=MIDDLE  ALT=\"r%5Br%5D+=+3+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Br%5D+=+8 ALIGN=MIDDLE  ALT=\"r%5Br%5D+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+r%5Br%5D%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+r%5Br%5D%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+8%2A%281%2F2%29 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+8%2A%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+4 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+r%5Bw%5D%2A%284%2F3%29 ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+r%5Bw%5D%2A%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+3%2A%284%2F3%29 ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+3%2A%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Bw%5D+=+4 ALIGN=MIDDLE  ALT=\"d%5Bw%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This verifies that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5Br%5D+=+d%5Bw%5D+=+4 ALIGN=MIDDLE  ALT=\"d%5Br%5D+=+d%5Bw%5D+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >mi answer<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );